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manuscripta mathematica

, Volume 112, Issue 4, pp 511–517 | Cite as

Injectivity of the symmetric map for line bundles

  • Montserrat Teixidor i bigasEmail author
Article

Abstract.

Let C be a generic non-singular curve of genus g defined over a field of characteristic different from two. We show that for every line bundle on C of degree at most g+1, the natural product map \({{S^2(H^0(C,L))\rightarrow H^0(C,L^2)}}\) is injective. We also show that the bound on the degree of L is sharp

Keywords

Natural Product Line Bundle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Mathematics DepartmentTufts UniversityMedfordUSA

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